• Publications
  • Influence
An empirically feasible approach to the epistemology of arithmetic
TLDR
We propose a framework for an empirically feasible epistemological theory of arithmetic. Expand
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  • 1
In search of $$\aleph _{0}$$ℵ0: how infinity can be created
TLDR
In this paper I develop a philosophical account of actual mathematical infinity that does not demand ontologically or epistemologically problematic assumptions. Expand
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  • 1
Determination of ten β-blockers in urine by micellar electrokinetic capillary chromatography
Abstract β-Adrenergic blocking agents are of therapeutic value in the treatment of migraine and various cardiovascular disorders (angina pectoris, cardiac arrythmia, hypertension). Owing to theirExpand
  • 66
A fresh look at research strategies in computational cognitive science: The case of enculturated mathematical problem solving
TLDR
We explore how the enculturation account of mathematical problem solving strongly suggests that computational-level analyses need to be complemented by considerations on the algorithmic and implementational levels of analysis. Expand
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Cognitive and Computational Complexity: Considerations from Mathematical Problem Solving
TLDR
In this paper, I argue that human cognizers use heuristic and didactic tools and thus engage in cognitive processes that make their problem solving algorithms computationally suboptimal, in contrast with optimal algorithms studied in the computational approach. Expand
  • 4
The Enculturated Move From Proto-Arithmetic to Arithmetic
  • M. Pantsar
  • Psychology, Medicine
  • Front. Psychol.
  • 9 July 2019
The basic human ability to treat quantitative information can be divided into two parts. With proto-arithmetical ability, based on the core cognitive abilities for subitizing and estimation,Expand
  • 4
Mathematical cognition and enculturation: introduction to the Synthese special issue
  • M. Pantsar
  • Philosophy, Computer Science
  • Synthese
  • 19 November 2019
TLDR
Cognitive enculturation is the transformative process in which interactions with the surrounding culture determine how cognitive practices are acquired and developed (Menary 2015; Fabry 2018a). Expand
  • 4
The Complexity of Mental Integer Addition
TLDR
An important paradigm in modeling the complexity of mathematical tasks relies on computational complexity theory, in which complexity is measured through the resources (time, space) taken by a Turing machine to carry out the task. Expand
  • 2
Early numerical cognition and mathematical processes
In this paper I study the development of arithmetical cognition with the focus on metaphorical thinking. In an approach developing on Lakoff and Nunez (2000), I propose one particular conceptualExpand
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